论文标题
使用Dikin Ellipsoid进行动力学系统，用不变锥构建Lorenz锥体
Construction of Lorenz Cone with Invariant Cone Using Dikin Ellipsoid for Dynamical Systems
论文作者
论文摘要
在本文中，使用Dikin椭圆形和一些超平面构建了一些特殊的Lorenz锥。我们还研究了构造锥的结构，尤其是椭圆形公式中相关基质的特征值结构。这些新型的洛伦兹锥体通过其构造位于正骨位置的可能是为给定动力学系统设计不变锥的潜在候选者。它为从业者提供了更大的灵活性，可以在系统稳定性分析应用中选择更多锥体。
In this paper, some special Lorenz cones are constructed using Dikin ellipsoid and some hyperplane. We also study the structure of the constructed cones, especially the eigenvalues structure of the related matrix in the formula of elliposid. These novel Lorenz cones which locate in positive orthant by its construction are potential candidates to design invariant cone for a given dynamical system. It provides more flexibility for practitioner to choose more cones in the application for system stability analysis.
